(a) construct a discrete probability distribution for the random variable [tex]\mathrm{X}\left[\right.[/tex] Hint: [tex]\left.P\left(x_i\right)=\frac{f_i}{N}\right][/tex], (b) draw a graph of the probability distribution, (c) compute and interpret the mean of the random variable [tex]X[/tex], and (d) compute the standard deviation of the random variable [tex]X[/tex]. The following data represent the number of games played in each World Series from 1923 to 2014.
[tex][tex]\begin{array}{cc}\text { x (games played) } & \text { Frequency } \\ 4 & 18 \\ 5 & 18 \\ 6 & 20 \\ 7 & 35\end{array}[/tex][/tex]